Estimates for the arctangent function
 related to Shafer's inequality

Cristinel Mortici; H. M. Srivastava

doi:10.4064/cm136-2-8

Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

Estimates for the arctangent function related to Shafer's inequality

Tom 136 / 2014

Cristinel Mortici, H. M. Srivastava Colloquium Mathematicum 136 (2014), 263-270 MSC: Primary 26A09, 33B10; Secondary 26D99. DOI: 10.4064/cm136-2-8

Streszczenie

The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.

Autorzy

Cristinel MorticiDepartment of Mathematics
Valahia University of Târgovişte
Bd. Unirii 18
130082 Târgovişte, Romania
and
Academy of Romanian Scientists
Splaiul Independenţei 54
0500594 Bucureşti, Romania
e-mail
H. M. SrivastavaDepartment of Mathematics and Statistics
University of Victoria
Victoria, British Columbia V8W 3R4, Canada
e-mail

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